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2264192 = 2772192
BaseRepresentation
bin1000101000110010000000
311021000212222
420220302000
51034423232
6120310212
725150100
oct10506200
94230788
102264192
111307137
12912368
13613778
1442d200
152ead12
hex228c80

2264192 has 72 divisors (see below), whose sum is σ = 5537835. Its totient is φ = 919296.

The previous prime is 2264191. The next prime is 2264201. The reversal of 2264192 is 2914622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1132096 + 1132096 = 1064^2 + 1064^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1064.

It is not an unprimeable number, because it can be changed into a prime (2264191) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 119159 + ... + 119177.

22264192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2264192

2264192 is an abundant number, since it is smaller than the sum of its proper divisors (3273643).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2264192 is an equidigital number, since it uses as much as digits as its factorization.

2264192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 28 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 2264192 is about 1504.7232303650. The cubic root of 2264192 is about 131.3120003371.

The spelling of 2264192 in words is "two million, two hundred sixty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 128 133 152 196 224 266 304 361 392 448 532 608 722 784 896 931 1064 1216 1444 1568 1862 2128 2432 2527 2888 3136 3724 4256 5054 5776 6272 7448 8512 10108 11552 14896 17024 17689 20216 23104 29792 35378 40432 46208 59584 70756 80864 119168 141512 161728 283024 323456 566048 1132096 2264192